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Finding the Fourth Proportional to 298,916,999.80, 448,375,499.70 and 137,673,863.80

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Solution

The fourth proportional to 298,916,999.80, 448,375,499.70 and 137,673,863.80 is: 206,510,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,916,999.80 : 448,375,499.70 = 137,673,863.80 : x
  2. Step 2: Convert to fraction form
    298,916,999.80/448,375,499.70 = 137,673,863.80/x
  3. Step 3: Cross multiply
    298,916,999.80x = 448,375,499.70 × 137,673,863.80
  4. Step 4: Simplify right side
    298,916,999.80x = 61,729,587,476,954,744
  5. Step 5: Solve for x
    x = 61,729,587,476,954,744/298,916,999.80
  6. Step 6: Final answer
    x = 206,510,795.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.